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Double Copy for Celestial Amplitudes.

Eduardo Casali1, Andrea Puhm2

  • 1Center for Quantum Mathematics and Physics (QMAP) and Department of Physics, University of California, Davis, California 95616, USA.

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Researchers developed a celestial double copy procedure for quantum field theory amplitudes. This method generalizes numerator squaring, enabling study of gauge theory-gravity relations in a conformal basis.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • Holography

Background:

  • Celestial amplitudes offer a novel framework for studying quantum field theory properties with manifest conformal covariance.
  • Understanding these amplitudes provides insight into holographic celestial conformal field theories at the boundary of asymptotically flat space.
  • Translation invariance is obscured in the conformal basis, complicating the study of phenomena like the double copy.

Purpose of the Study:

  • To establish a well-defined procedure for a celestial double copy.
  • To demonstrate that fundamental properties of perturbative quantum field theory amplitudes survive a change of basis.
  • To generalize the double copy mechanism to celestial amplitudes.

Main Methods:

  • Utilizing conformal primary wave functions instead of plane waves as external states.
  • Generalizing the standard numerator squaring by promoting numerators to differential operators.
  • Applying the generalized procedure to three- and four-point celestial amplitudes.

Main Results:

  • A well-defined procedure for the celestial double copy has been demonstrated.
  • The method involves a novel generalization of numerator squaring using differential operators.
  • The procedure is shown to be valid for three- and four-point amplitudes, with arguments for all multiplicities.

Conclusions:

  • The celestial double copy is a viable procedure for studying gauge theory-gravity relations in a conformal framework.
  • This work extends the applicability of the double copy to celestial amplitudes, a key development for holographic studies.
  • The generalized numerator squaring offers a new tool for analyzing quantum field theory amplitudes in diverse bases.